Trions in 1+1 dimensions

We consider an Abelian BF-Higgs theory with Nf=2 Higgs fields in 1+1 dimensions. We derive a new BPS-like bound and find topological solitons with tri-charges (topological charge, Q-charge and electric charge). We call them "trions."Comment: 11 pages, 2 figures, a reference added, minor change

Knotted domain strings

We construct meta-stable knotted domain strings on the surface of a soliton of the shape of a torus in 3+1 dimensions. We consider the simplest case of Z2 Wess-Zumino-type domain walls for which we can cover the torus with a domain string accompanied with an anti-domain string. In this theory, all (p,q)-torus knots can be realized as a linked pair of a(n) (un)knotted domain string and an anti-domain string.Comment: 6 pages, 8 figures; V2: extended version with more details about the host model, the numerics and the stability of the solution

Static Interactions of U(N) non-Abelian Vortices

Interactions between non-BPS non-Abelian vortices are studied in non-Abelian U(1) x SU(N) extensions of the Abelian-Higgs model in four dimensions. In addition to the usual type I/II Abelian superconductors, we find other two new regimes: type I*/II*.Comment: A contribution to 8th Workshop on Continuous Advances in QCD (CAQCD-08), Minneapolis, Minnesota, 15-18 May 200